We introduce a method for finding general solutions of third-order nonlinear differential equations by extending the modified Prelle-Singer method. We describe a procedure to deduce all the integrals ...

The root locus for the equation Mÿ + Sy = 0 of undamped oscillatory motion, where M and S are symmetric, M is positive definite and S is nonnegative definite, lies on the imaginary axis of the ...